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Finding the Fourth Proportional to 706,123.32, 974,461.52 and 383,834.04

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Solution

The fourth proportional to 706,123.32, 974,461.52 and 383,834.04 is: 529,697.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,123.32 : 974,461.52 = 383,834.04 : x
  2. Step 2: Convert to fraction form
    706,123.32/974,461.52 = 383,834.04/x
  3. Step 3: Cross multiply
    706,123.32x = 974,461.52 × 383,834.04
  4. Step 4: Simplify right side
    706,123.32x = 374,031,502,046.14
  5. Step 5: Solve for x
    x = 374,031,502,046.14/706,123.32
  6. Step 6: Final answer
    x = 529,697.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.